{"title":"A critical phenomenon for the least energy solutions to nonlinear scalar field equations","authors":"Jun Wang, Xiaoguang Li","doi":"10.1080/17476933.2024.2303428","DOIUrl":null,"url":null,"abstract":"We study the existence of least energy solutions to the nonlinear scalar field equation: (1) −Δu+λu+V(x)u=Q(x)|u|pu,u∈H1(RN), Where V(x),Q(x)∈L∞(RN) are real functions satisfying suitable assump...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"3 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2303428","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the existence of least energy solutions to the nonlinear scalar field equation: (1) −Δu+λu+V(x)u=Q(x)|u|pu,u∈H1(RN), Where V(x),Q(x)∈L∞(RN) are real functions satisfying suitable assump...
期刊介绍：
Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds.
The Journal was formally published as Complex Variables Theory and Application.
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